This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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4) (ب) (1) Step 1: Identify the formula for net force. According to Newton's second law of motion, the net force (F) acting on an object is equal to the product of its mass (m) and acceleration (a). F = ma Step 2: Substitute the given values into the formula. Given mass m = 1200 kg and acceleration a = 3 m/s^2. F = (1200 kg) × (3 m/s^2) Step 3: Calculate the net force. F = 3600 N The magnitude of the net force is 3600 N. 4) (ب) (2) Step 1: Identify the given values and the principle of moments. For the seesaw to be balanced, the sum of clockwise moments must equal the sum of counter-clockwise moments about the pivot. Given: Distance of boy from pivot (d_boy) = 2 m Distance of man from pivot (d_man) = 1.5 m Weight of man (W_man) = 600 N Acceleration due to gravity (g) = 10 m/s² Step 2: Calculate the moment due to the man. The man creates a clockwise moment. Moment_man = W_man × d_man Moment_man = 600 N × 1.5 m Moment_man = 900 N·m Step 3: Apply the principle of moments to find the boy's weight. For equilibrium, the boy's counter-clockwise moment must equal the man's clockwise moment. W_boy × d_boy = Moment_man W_boy × 2 m = 900 N·m W_boy = 900 N·m2 m W_boy = 450 N Step 4: Calculate the boy's mass. Weight is related to mass and gravity by the formula W = mg. m_boy = W_boyg m_boy = 450 N10 m/s^2 m_boy = 45 kg The mass of the boy is 45 kg. Send me the next one 📸